SOLUTION: Please help me find the answer to this....Find the​ vertical, horizontal, and oblique​ asymptotes, if​ any, for the following rational function. T(x)=(x^3)/(x^4-16)

Algebra ->  Rational-functions -> SOLUTION: Please help me find the answer to this....Find the​ vertical, horizontal, and oblique​ asymptotes, if​ any, for the following rational function. T(x)=(x^3)/(x^4-16)       Log On


   

Question 1157587: Please help me find the answer to this....Find the​ vertical, horizontal, and oblique​ asymptotes, if​ any, for the following rational function.
T(x)=(x^3)/(x^4-16)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
T%28x%29=%28x%5E3%29%2F%28x%5E4-16%29

Horizontal asymptote:
%28x%5E3%29%2F%28x%5E4-16%29->0 as x-> ±infinity
so, horizontal asymptote is y=0
Vertical asymptote:
x%5E4-16=0
x%5E4=16
x%5E4=2%5E4
x=±2=> vertical asymptote: x=2 and x=-2

no oblique​ asymptote